<span>Cократите дробь:
(x</span>²<span>-4x+3)/(x-1)
</span>
<span>
Или так
</span> x²-4x+3 | x-1
x²-x +--------
------- x-3
-3x+3
-3x+3
-------
0
3х-5(2х+1)=3(3-2х)
3х-10х-5=9-6х
3х-10х+6х=9+5
-х=14
<span>х=-14</span>
<span>cos2x+2tgx=2
Сos2x = 2 - 2tgx
Cos</span>²x - Sin²x = 2(1 - Sinx/Cosx)
(Cosx - Sinx)(Cosx + Sinx) = 2(Cosx -Sinx)/Cosx
(Cosx - Sinx)(Cosx + Sinx) - 2(Cosx -Sinx)/Cosx = 0
(Cosx - Sinx)(Cosx +Sinx -2/Cosx) = 0
(Cosx - Sinx) = 0| : Сosx или (Cosx +Sinx -2/Cosx) = 0
1 - tgx = 0 Cos²x +SinxCosx -2 = 0
tgx = 1 Cos²x + SinxCosx -2*1 = 0
x = π/4 + πk , k∈Z Cos²x + SinxCosx -2(Sin²x + Cos²x) =0
Cos²x + SinxCosx -2Sin²x -2Cos²x =0
-Cos²x + SinxCosx -2Sin²x =0 | :Сos²x
-1 +tgx -2tg²x = 0
tgx = t
2t² -t +1 = 0
D< 0
∅
4a+3a²=a(4+3a)
-20m+30n= - 10(2m-3n)
5a²-15a=5a(a-3)
-6xy+9y³= -3y(2x+3y²)
0.5x³-2.5x=0.5x(x²-0.5)
8xy-4y²=4y(2x-1)
-m²n²-mn=mn(mn-1)
18pq³-9q⁴=9q³(2p-q)